Results 21 to 30 of about 96 (88)

Generalized derivatives and nonsmooth optimization, a finite dimensional tour

, 2005
Convex optimization, nonsmooth analysis, nonsmooth optimization, set-valued maps, variational analysis, mathematical programming, nonconvex programming, nonlinear programming, optimality conditions, second order conditions, tangent cones, normal cones ...
Joydeep Dutta
core   +1 more source

Optimization of Lagrange problem with higher-order differential inclusion and special boundary-value conditions

Demonstratio Mathematica
This article concerns about optimality conditions for boundary-value problems related to differential inclusions (DFIs) of higher orders. We intend to attain optimality conditions when a general Lagrange functional takes place in the cost function ...
Yıldırım Uğur, Mastaliyeva Dilara I., Mahmudov Elimhan N.   +2 more
doaj   +1 more source

On generalized semi-infinite programming

, 2006
Generalized semi-infinite programming, extended Mangasarian-Fromovitz, Kuhn-Tucker and Abadie constraint qualification, Fritz-John condition, first and second order optimality conditions, optimal value function, directional differentiability, second ...
Alfredo Gomez, J, Jan Rückmann, Juan Alfredo Gómez, Ruckmann, Jan-Joachim   +3 more
core   +1 more source

Approximations of bi-criteria optimization problem

, 2018
In this article we study approximation methods for solving bi-criteria optimization problems. Initial problem is approximated by a new one consisting of the second order approximation of feasible set and components of objective function might be initial ...
LUCA, Traian Ionuț, DUCA, Dorel I.
core   +1 more source

Second-order duality for nondifferentiable multiobjective programming involving (Φ,ρ)-univexity

, 1970
The concepts of (Φ, ρ)-invexity have been given by Carsiti,Ferrara and Stefanescu[32]. We consider a second-order dual model associated to a multiobjective programming problem involving support functions and a weak duality result is established under ...
Bandana Priya, Ganesh Kumar Thakur
core   +1 more source

Fractional Calculus Approach for Variational Problems: Characterization of Sufficient Optimality Conditions and Duality

Partial Differential Equations in Applied Mathematics
In this paper, we present a Wolfe-type dual model containing the Caputo-Fabrizio fractional derivative, weak and strong duality results, number of Kuhn-Tucker type sufficient optimality conditions and duality results for variational problems (VPs) with ...
Ved Prakash Dubey, Devendra Kumar, Jagdev Singh, Dumitru Baleanu   +3 more
doaj   +1 more source

Refined optimality conditions for differences of convex functions

Diff-convex, Optimality, 90C26, 90C46,
Tuomo Valkonen
core   +1 more source

A new augmented Lagrangian approach to duality and exact penalization

Augmented Lagrangian, Augmenting function, Nonconvex problem, Duality, 90C26, 90C46,
C. Lalitha
core   +1 more source

Gronwall-type integral inequalities with impulses on time scales

Advances in Difference Equations, 2011
In this article, some Gronwall-type integral inequalities with impulses on time scales are investigated. Our results extend some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete ...
Kang Ying, Yuan Mingxiu, Huang Rongfeng, Yang Liu, Peng Y   +4 more
doaj  

The lagrange approach to infinite linear programs

Infinite linear programs, convex problems, Lagrange approach, strong duality, 90C46, 90C25, 90C08,
Raquiel López-Martínez, J. Gabriel, Onésimo Hernández-Lerma   +2 more
core   +1 more source